GCD of 909, 747, 745, 138 Calculator

Given Input numbers are 909, 747, 745, 138

In the factoring method, we have to find the divisors of all numbers

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (909, 747, 745, 138) = 1.

Given numbers are 909, 747, 745, 138

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 747 are 3 x 3 x 83

Prime factors of 745 are 5 x 149

Prime factors of 138 are 2 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 909, 747, 745, 138

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(909, 747) = 75447

GCD(909, 747) = ( 909 x 747 ) / 75447

= 909 / 747

= 909

Step2:

LCM(9, 745) = 6705

GCD(9, 745) = ( 9 x 745 ) / 6705

= 9 / 745

= 9

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 909, 747, 745, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 376, 166, 529
• GCD of 274, 963, 913, 310
• GCD of 926, 821, 112, 377
• GCD of 421, 748, 925, 481
• GCD of 210, 975, 444, 577

Given numbers are 909, 747, 745, 138
The greatest common divisor of numbers 909, 747, 745, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 747, 745, 138 is 1.

1. What is the GCD of 909, 747, 745, 138?

GCD of given numbers 909, 747, 745, 138 is 1

2. How to calculate the greatest common divisor of 909, 747, 745, 138?

We can find the highest common divisor of 909, 747, 745, 138 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 909, 747, 745, 138 i.e 1.

3. How can I use the GCD of 909, 747, 745, 138Calculator?

Out the numbers 909, 747, 745, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.